Properties of the Number 3705

Three Thousand Seven Hundred Five

Basics

Value: 3704 → 3705 → 3706

Parity: odd

Prime: No

Previous Prime: 3701

Next Prime: 3709

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 3 × 5 × 13 × 19

Divisors: 1, 3, 5, 13, 15, 19, 39, 57, 65, 95

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111001111001

Octal: 7171

Duodecimal: 2189

Hexadecimal: e79

Square: 13727025

Square Root: 60.868711174132805

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

Numbers k such that φ(k) = φ(k+1). A1274

Partial sums of A299281. A299282

5 times triangular numbers: a(n) = 5·n*(n+1)/2. A28895

Nondescending wiggly sums: number of sums adding to n in which terms alternately do not decrease and do not increase. A129852

Expansion of 1/(1 - x³ - x⁴ - x⁵ + x⁸). A225482

Numbers whose binary expansion generates rotationally symmetric XOR-triangles. A334556

a(0) = 0, a(1) = 1; a(n) = max { 4·a(k) + a(n-k) | 1 <= k <= n/2 }, for n > 1. A116520

Numbers n such that the decimal expansions of both n and n² have 0 as smallest digit and 7 as largest digit. A256634

Number A(n,k) of standard Young tableaux of shape [n·k,n]; square array A(n,k), n>=0, k>=0, read by antidiagonals. A214776

Number of non-isomorphic achiral multiset partitions of weight n. A330223